Results 11 to 20 of about 100,866 (281)
Means and non-real Intersection Points of Taylor Polynomials [PDF]
Journal of Classical Analysis, 2015 Suppose that f has continuous derivatives thru order r+1 for x>0, and let P_{c} denote the Taylor polynomial to f of order r at x=c,c>0. In a previous paper of the author, it was shown that if r is an odd whole number and the (r+1)st derivative of f is ...
Horwitz, Alan
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Taylor Polynomials of Rational Functions
Acta Mathematica Vietnamica, 2023 A Taylor variety consists of all fixed order Taylor polynomials of rational functions, where the number of variables and degrees of numerators and denominators are fixed. In one variable, Taylor varieties are given by rank constraints on Hankel matrices. Inversion of the natural parametrization is known as Padé approximation. We study the dimension and
Conca, Aldo +3 more
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Classes of Entire Analytic Functions of Unbounded Type on Banach Spaces
Axioms, 2020 In this paper we investigate analytic functions of unbounded type on a complex infinite dimensional Banach space X. The main question is: under which conditions is there an analytic function of unbounded type on X such that its Taylor polynomials are in ...
Andriy Zagorodnyuk, Anna Hihliuk
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The problems of stability and convergence of previously proposed matrix method of numerical integration of boundary value problems with boundary conditions of the first, second and third kinds of nonhomogeneous linear ordinary differential second order ...
Vladimir N Maklakov
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Taylor series expansion in discrete Clifford analysis [PDF]
, 2013 Discrete Clifford analysis is a discrete higher-dimensional function theory which corresponds simultaneously to a refinement of discrete harmonic analysis and to a discrete counterpart of Euclidean Clifford analysis.
De Ridder, Hilde +2 more
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Ain Shams Engineering Journal, 2013 A Taylor collocation method has been developed to solve the systems of high-order linear differential–difference equations in terms of the Taylor polynomials.
Elçin Gökmen, Mehmet Sezer
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Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator
International Journal of Mathematics and Mathematical Sciences, 2023 In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials.
Waleed Al-Rawashdeh
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Convergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials [PDF]
, 2003 Convergent expansions are derived for three types of orthogonal polynomials: Charlier, Laguerre and Jacobi. The expansions have asymptotic properties for large values of the degree. The expansions are given in terms of functions that are special cases of
López, José L., Temme, Nico M.
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Hermite Subdivision Schemes and Taylor Polynomials [PDF]
Constructive Approximation, 2008 The authors propose a general study of the convergence of a Hermite subdivision scheme \(\mathcal H\) of degree \(d>0\) in dimension \(1\). Under the spectral condition, authors transform the Hermite subdivision scheme \(\mathcal H\) into the Taylor subdivision scheme \(\mathcal S\).
Dubuc, Serge, Merrien, Jean-Louis
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International Journal of Mathematics and Mathematical Sciences, 2006 A Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential-difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials.
Mehmet Sezer, Mustafa Gülsu
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